Least Common Multiple of 4831 and 4836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4831 and 4836 the smallest integer that is 23362716 that is divisible by both numbers.

Least Common Multiple (LCM) of 4831 and 4836 is 23362716.

LCM(4831,4836) = 23362716

LCM of 4831 and 4836

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 4831 and 4836

LCM of 4831 and 4836 is 23362716

Least common multiple can be found by multiplying the highest exponent prime factors of 4831 and 4836. First we will calculate the prime factors of 4831 and 4836.

Prime Factorization of 4831


4831 4831
1

Prime factors of 4831 are 4831. Prime factorization of 4831 in exponential form is:

4831 = 48311

Prime Factorization of 4836


2 4836
2 2418
3 1209
13 403
31 31
1

Prime factors of 4836 are 2, 3, 13,31. Prime factorization of 4836 in exponential form is:

4836 = 22×31×131×311

Now multiplying the highest exponent prime factors to calculate the LCM of 4831 and 4836.

LCM(4831,4836) = 22×31×131×311×48311
LCM(4831,4836) = 23362716

Factors of 4831

List of positive integer factors of 4831 that divides 4831 without a remainder.

1, 4831

Factors of 4836

List of positive integer factors of 4836 that divides 4836 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836

Least Common Multiple of 4831 and 4836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4831 and 4836, than apply into the LCM equation.

GCF(4831,4836) = 1
LCM(4831,4836) = ( 4831 × 4836) / 1
LCM(4831,4836) = 23362716 / 1
LCM(4831,4836) = 23362716

Properties of LCM 4831 and 4836

(i) The LCM of 4836 and 4831 is associative

LCM of 4831 and 4836 = LCM of 4836 and 4831

Related Least Common Multiples of 4831

Related Least Common Multiples of 4836

Frequently Asked Questions on LCM of 4831 and 4836

1. What is the LCM of 4831 and 4836?

Answer: LCM of 4831 and 4836 is 23362716.

2. What are the Factors of 4831?

Answer: Factors of 4831 are 1, 4831. There are 2 integers that are factors of 4831. The greatest factor of 4831 is 4831.

3. What are the Factors of 4836?

Answer: Factors of 4836 are 1, 2, 3, 4, 6, 12, 13, 26, 31, 39, 52, 62, 78, 93, 124, 156, 186, 372, 403, 806, 1209, 1612, 2418, 4836. There are 24 integers that are factors of 4836. The greatest factor of 4836 is 4836.

4. How to Find the LCM of 4831 and 4836?

Answer:

Least Common Multiple of 4831 and 4836 = 23362716

Step 1: Find the prime factorization of 4831

4831 = 4831

Step 2: Find the prime factorization of 4836

4836 = 2 x 2 x 3 x 13 x 31

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23362716 = 2 x 2 x 3 x 13 x 31 x 4831

Step 4: Therefore, the least common multiple of 4831 and 4836 is 23362716.